Each of the HP Latex 200-series and 300-series machines that I have had dating back to 2010, have been used exclusively for training, and regularly sit without being used for days and even on occasion, weeks at a stretch. The Latex machines are built to go into sleep mode, and not to be power cycled on a daily basis.
There are several things that could be going on here. The first thing, as the OP noted, is nozzle-performance related. With the Latex printers, sometimes nozzle issues do not result in the typical horizontal banding seen on other machines, but can manifest as color shifts in the output. The first thing would be to run the Printhead Test Print (from the printer control panel; Ink Menu > Image Quality Maintenance > Clean PH > Test Print.)
Based on your evaluation of that print, run cleanings on the affected color(s) and heads only.
After that, I would run a print job of Pure Hue colors (multiple large rectangles of C,M,Y,K ink only) with all color management disabled, and see if dropouts develop anywhere in the print. There is a phenomenon with Latex called Color Enrichment, which can cause color shifts at the start of a print, and this test should tell if this is occurring, as well as check nozzle performance in a print job. If a problem develops, run another clean cycle or replace the PH.
If all is good after these steps, you should be good to go with print production going forward.